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Turbulence characterization of a high-pressure high-temperature fan-stirred combustion vessel using LDV, PIV and TR-PIV measurements

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Abstract

Standard particle imaging velocimetry (PIV), time-resolved particle imaging velocimetry (TR-PIV) and laser Doppler velocimetry (LDV) are complementary techniques used to measure the turbulence statistics in a fan-stirred combustion vessel. Since a solid knowledge of the aerodynamic characteristics of the turbulent flow will enable better analysis of the flame–turbulence interactions, the objective of this paper is to provide an accurate characterization of the turbulent flow inside the combustion vessel. This paper aims at becoming a reference for further work on turbulent premixed flames using this fan-stirred combustion vessel. Close approximations of homogeneous and isotropic turbulence are achieved using this setup. The integral length scales L, Taylor microscales λ and Kolmogorov length scales η, the rms velocity fluctuations and the energy spectra are investigated using PIV, TR-PIV and LDV techniques. The difficulty to reach an accurate estimation of the integral length scale is particularly examined. The strengths and limitations of these three techniques are highlighted. High temporally resolved and high spatially resolved PIV appears as an interesting alternative to LDV in so far as close attention is paid to the measurements resolution. Indeed, the largest scales of the flow are limited by the field size and the smallest ones may be not caught with high accuracy due to the limited spatial resolution. A low spatial resolution of the PIV measurements can also lead to an underestimation of the rms velocity fluctuations. As the vessel was designed to study turbulent combustion at high initial pressure and high initial temperature, the effects of the gas temperature and pressure on the energy spectra and the turbulent parameters are finally investigated in the last part of the paper.

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Abbreviations

\(\overline{c}\) :

Estimation of the pseudo-convective velocity in the present paper

D :

Fan diameter

E UU , E VV :

Energy spectra related to the velocity components U and V

f 0 :

Rotational fan speed in Hertz

K U , K V :

Flatness factors of the velocity probability distribution functions

L :

Mean longitudinal integral length scale

L Ux , L Vy :

Longitudinal integral length scales related to the velocity components U and V

L Uy , L Vx :

Lateral integral lengths related to the velocity components U and V

N:

Number of LDV temporal samples

P i :

Gas pressure

Re L :

Reynolds number related to the integral length scale

Re λ :

Reynolds number related to the Taylor length scale

R Ux , R vy :

Longitudinal correlation coefficients related to the velocity components U and V

R Uy , R vx :

Lateral correlation coefficients related to the velocity components U and V

S U , S V :

Skewness factors of the velocity probability distribution functions

\(\overline{s}\) :

Pseudo-convective velocity as defined by Abdel-Gayed et al. (1984)

T :

Mean integral timescale

T i :

Gas temperature

U, V :

Instantaneous velocity components in the X- and Y-directions

\(\overline{U}\), \(\overline{V}\) :

Mean velocity components in the X- and Y-directions

u, ν :

Instantaneous velocity fluctuations in the X- and Y-directions

u N , ν N :

Standardized normal velocities in the X- and Y-directions

\(u^{\prime }\), \(v^{\prime }\) :

Root-mean-square (rms) velocity fluctuations in the X- and Y-directions

η :

Kolmogorov length scale

λ :

Taylor length scale

ν :

Kinetic viscosity

ω :

Rotational fan speed in rpm (rotation per minute)

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Acknowledgments

This work was cofinanced by the European Union and the European Regional Development Fund. It was supported by the ICAMDAC project through a grant from the French National Research Agency (ANR), VTT program, Grant Number ANR-10-VPTT-0002.

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Authors and Affiliations

  1. Univ. Orléans, ENSI de Bourges, PRISME, EA 4229, 45072, Orléans, France

    Bénédicte Galmiche, Nicolas Mazellier, Fabien Halter & Fabrice Foucher

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  1. Bénédicte Galmiche
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  2. Nicolas Mazellier
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  3. Fabien Halter
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  4. Fabrice Foucher
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Correspondence to Bénédicte Galmiche.

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Galmiche, B., Mazellier, N., Halter, F. et al. Turbulence characterization of a high-pressure high-temperature fan-stirred combustion vessel using LDV, PIV and TR-PIV measurements. Exp Fluids 55, 1636 (2014). https://doi.org/10.1007/s00348-013-1636-x

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